Contact structures, sutured Floer homology and TQFT

Honda, Ko; Kazez, William H.; Matic, Gordana

Contact structures, sutured Floer homology and TQFT

Authors

Honda, Ko

Kazez, William H.

Matic, Gordana

Description

We describe the natural gluing map on sutured Floer homology which is induced by the inclusion of one sutured manifold (M',Γ') into a larger sutured manifold (M,Γ), together with a contact structure on M-M'. As an application of this gluing map, we produce a (1+1)-dimensional TQFT by dimensional reduction and study its properties.
37 pages, 19 figures